2541801601 has 8 divisors (see below), whose sum is σ = 2604486024. Its totient is φ = 2479150080.

The previous prime is 2541801593. The next prime is 2541801607. The reversal of 2541801601 is 1061081452.

It can be written as a sum of positive squares in 4 ways, for example, as 1742400 + 2540059201 = 1320^2 + 50399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2541801601 - 2³ = 2541801593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2541801601.

It is not an unprimeable number, because it can be changed into a prime (2541801607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236521 + ... + 247033.

It is an arithmetic number, because the mean of its divisors is an integer number (325560753).

Almost surely, 2^2541801601 is an apocalyptic number.

It is an amenable number.

2541801601 is a deficient number, since it is larger than the sum of its proper divisors (62684423).

2541801601 is a wasteful number, since it uses less digits than its factorization.

2541801601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 2541801601 is about 50416.2830938577. The cubic root of 2541801601 is about 1364.7315015283.

The spelling of 2541801601 in words is "two billion, five hundred forty-one million, eight hundred one thousand, six hundred one".